A consistent variational derivation of the Majorana 4-spinor field equations coupled to Einstein's theory of gravitation is given. The equivalence of the first and the second order variational field equations is explicitly demonstrated. The Lagrange multiplier 2-forms we use turn out to be precisely the Belinfante-Rosenfeld 2-forms that are needed to symmetrize the canonical energy-momentum tensor of the Majorana spinor.
DERELİ, DÜNDAR TEKİN and ŞENİKOĞLU, YORGO
"Variational field equations of a Majorana neutrino coupled to Einstein's theory of general relativity,"
Turkish Journal of Physics: Vol. 46:
5, Article 2.
Available at: https://journals.tubitak.gov.tr/physics/vol46/iss5/2